A Sharp Bilinear Estimate for the Bourgain-type Space with Application to the Benjamin Equation

Details A Sharp Bilinear Estimate for the Bourgain-type Space with Application to the Benjamin Equation A Sharp Bilinear Estimate for the Bourgain-type Space with Application to the Benjamin Equation

2009-08-24

arxiv.org/abs/0908.3429v1

Mathematics

Analysis of PDEs

20 pages

Scientific paper

This note shows the existence of a sharp bilinear estimate for the
Bourgain-type space and gives its application to the optimal local
well/ill-posedness of the Cauchy problem for the Benjamin equation.

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